Last visit was: 11 Feb 2025, 13:34 It is currently 11 Feb 2025, 13:34
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

A solid metal cylinder was dropped into a cylindrical glass

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30879
Own Kudos [?]: 37289 [1]
Given Kudos: 26161
Send PM
A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   Updated on: 16 May 2020, 17:18
Expert Reply
1
Bookmarks
00:00

Question Stats:

83% (01:26) correct 16% (01:54) wrong based on 60 sessions

Hide Show timer Statistics

A solid metal cylinder was dropped into a cylindrical glass originally holding \(200 \pi\) \(cm^3\) of water. If the metal cylinder has a radius of 3 centimeters and height of 7 centimeters, and is completely submerged in the water, by what percent did the water level in the glass rise? (Assume the metal is non-porous, so the resulting water and metal volume equals the original water volume plus the metal cylinder volume.)



Show: :: OA %
31.5

Originally posted by Carcass on 15 May 2020, 11:56.
Last edited by Carcass on 16 May 2020, 17:18, edited 1 time in total.
Updated
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30879
Own Kudos [?]: 37289 [0]
Given Kudos: 26161
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   15 May 2020, 11:56
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
avatar
esaktasynov
Manager
Manager
Joined: 17 Feb 2020
Posts: 64
Own Kudos [?]: 69 [0]
Given Kudos: 0
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   15 May 2020, 19:36
1
What does it means 200rr?
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30879
Own Kudos [?]: 37289 [0]
Given Kudos: 26161
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   16 May 2020, 17:19
Expert Reply
Fixed . it was \(\pi\)

many thanks.

Kudo
avatar
vndnjn
Retired Moderator
Joined: 16 Oct 2019
Posts: 63
Own Kudos [?]: 177 [4]
Given Kudos: 21
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   17 May 2020, 15:53
3
1
Bookmarks
volume of water in the glass cylinder = πr^2h1 = 200π; r^2 = 200/h1

volume of solid metal cylinder = π*3*3*7 = 63π
resulting water and metal volume in glass cylinder = 200π + 63π = 263π
if the water level reached up by h2 height, the filled volume in the glass cylinder = πr^2h2 = 263π;
h2 = 263/r^2 = (263/200)h1
percentage of water level rises in glass cylinder = (h2-h1)/h1 * 100

h2-h1)/h1 * 100
[(263/200)h1 - h1]/h1 * 100
63/200 * 100 = 31.5
Attachments

Slide1.JPG
Slide1.JPG [ 35.68 KiB | Viewed 4529 times ]

avatar
sukrut96
Manager
Manager
Joined: 09 Mar 2020
Posts: 164
Own Kudos [?]: 202 [3]
Given Kudos: 0
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   Updated on: 08 Jul 2020, 00:59
2
1
Bookmarks
Volume of cylinder = π*r^2*h
Thus, 7*9*π = 63π
The water level in the glass increases from 200π by 200π+63π = 263π.
Percent increases = 263π-200π/200π * 100 = 63/200*100 = 31.5.

Originally posted by sukrut96 on 17 May 2020, 21:11.
Last edited by sukrut96 on 08 Jul 2020, 00:59, edited 1 time in total.
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30879
Own Kudos [?]: 37289 [0]
Given Kudos: 26161
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   18 May 2020, 05:46
Expert Reply
Awesomeee


vndnjn wrote:
volume of water in the glass cylinder = πr^2h1 = 200π; r^2 = 200/h1

volume of solid metal cylinder = π*3*3*7 = 63π
resulting water and metal volume in glass cylinder = 200π + 63π = 263π
if the water level reached up by h2 height, the filled volume in the glass cylinder = πr^2h2 = 263π;
h2 = 263/r^2 = (263/200)h1
percentage of water level rises in glass cylinder = (h2-h1)/h1 * 100

h2-h1)/h1 * 100
[(263/200)h1 - h1]/h1 * 100
63/200 * 100 = 31.5
avatar
vndnjn
Retired Moderator
Joined: 16 Oct 2019
Posts: 63
Own Kudos [?]: 177 [0]
Given Kudos: 21
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   18 May 2020, 06:03
1
[quote="Carcass"]Awesomeee

Thank You Carcass :-D
avatar
tanvi1998
Intern
Intern
Joined: 02 Jul 2020
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   07 Jul 2020, 23:51
i have a doubt
is it possible any of these questions from the entire challenge are from the two free powerprep tests?
because i have'nt given them yet and would want to steer clear of them
User avatar
Farina
Senior Manager
Senior Manager
Joined: 10 Feb 2020
Posts: 496
Own Kudos [?]: 356 [0]
Given Kudos: 299
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   Updated on: 08 Jul 2020, 07:00
2
sukrut96 wrote:
Area of cylinder = π*r^2*h
Thus, 7*9*π = 63π
The water level in the glass increases from 200π by 200π+63π = 263π.
Percent increases = 263π-200π/200π * 100 = 63/200*100 = 31.5.


Nice explanation, the only error is π*r^2*h is the formula of Volume of cylinder and not the Area

Originally posted by Farina on 08 Jul 2020, 00:05.
Last edited by Farina on 08 Jul 2020, 07:00, edited 2 times in total.
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30879
Own Kudos [?]: 37289 [0]
Given Kudos: 26161
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   08 Jul 2020, 02:46
Expert Reply
tanvi1998 wrote:
i have a doubt
is it possible any of these questions from the entire challenge are from the two free powerprep tests?
because i have'nt given them yet and would want to steer clear of them


No,

the source is mGRE 100%

All the questions from powerprep are here https://gre.myprepclub.com/forum/gre-power ... html#p6284

See also Free GRE Materials - Where to get it!

https://gre.myprepclub.com/forum/free-gmat ... tml#p53911

Regards
avatar
chacinluis
Manager
Manager
Joined: 22 Jan 2020
Posts: 120
Own Kudos [?]: 244 [0]
Given Kudos: 10
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   04 Aug 2020, 07:56
Yes the answer is 63/200 as mentioned by others.

Adding to that: the answer can be obtained by simply doing percentage change in volume

(263pi - 200pi)/200pi = 63/200

That is, the percentage change in volume is the percentage change in height.

Why is this the case?

B/c percentage change in volume is happening solely due to percentage change in the height, since the height of the water level is the only variable changing when the metal cylinder is added to the water.
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5137
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink] New post   21 Sep 2021, 18:23
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: A solid metal cylinder was dropped into a cylindrical glass [#permalink]
21 Sep 2021, 18:23
Moderators:
adewale223
GRE Instructor
93 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1131 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact